By E. J. Hearn (Auth.)

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10 carrying a load P at an eccentricity e on one principal axis. In this case there is strictly no R C A // R Fig. 10. Strut with eccentric load (pinned ends). 9 Mechanics of Materials 472 "buckling" load as previously described since the strut will bend immediately load is applied, bending taking place about the other principal axis. M. M. A. to the highest stressed fibre. e. 26) 1Í \ Ek2 / J This formula is known as the Smith— Southwell formula. Unfortunately, since s = P/A, the above equation represents a function of P (the required unknown) which can only be solved by trial and error or graphically.

10 carrying a load P at an eccentricity e on one principal axis. In this case there is strictly no R C A // R Fig. 10. Strut with eccentric load (pinned ends). 9 Mechanics of Materials 472 "buckling" load as previously described since the strut will bend immediately load is applied, bending taking place about the other principal axis. M. M. A. to the highest stressed fibre. e. 26) 1Í \ Ek2 / J This formula is known as the Smith— Southwell formula. Unfortunately, since s = P/A, the above equation represents a function of P (the required unknown) which can only be solved by trial and error or graphically.

A. 2. 1 (B). A rectangular-sectioned beam of 75 mm x 50 mm cross-section is used as a simply supported beam and carries a uniformly distributed load of 500 N/m over a span of 3 m. The beam is supported in such a way that its long edges are inclined at 20° to the vertical. Determine: (a) the maximum stress set up in the cross-section; (b) the vertical deflection at mid-span. E = 208 01/m2 . 2 (B). 5 kN inclined at 30° to the web. If the load passes through the centroid of the section and the girder dimensions are: flanges 100 mm x 20 mm, web 200 mm x 12 mm, determine the maximum stress set up in the cross-section.

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